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Finding the Fourth Proportional to 2,132.16, 3,195 and 832.92

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Solution

The fourth proportional to 2,132.16, 3,195 and 832.92 is: 1,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.16 : 3,195 = 832.92 : x
  2. Step 2: Convert to fraction form
    2,132.16/3,195 = 832.92/x
  3. Step 3: Cross multiply
    2,132.16x = 3,195 × 832.92
  4. Step 4: Simplify right side
    2,132.16x = 2,661,179.40
  5. Step 5: Solve for x
    x = 2,661,179.40/2,132.16
  6. Step 6: Final answer
    x = 1,248.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.